Qualitative analysis of a ratio-dependent predator–prey system with diffusion
By Peter Y. H. Pang, Mingxin Wang. Proceedings of the Royal Society of Edinburgh: Section A Mathematics, 2003
163 citations recorded by the source corpus.
Subfields: Mathematical Physics, Modeling and Simulation, Public Health, Environmental and Occupational Health
View Paper: https://www.semanticscholar.org/paper/ffcfb9259b9a218207ede5f65e55515debca33b6
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Citations in the corpus
- Global asymptotic stability of a ratio-dependent predator-prey system with diffusion (2006, background): “[5] Y.H. Fan, W.T. Li, L.L. Wang, Periodic solutions of delayed ratio-dependent predator–prey models with monotonic or nonmonotonic functional response, Nonlinear Anal.”
- Strategy and stationary pattern in a three-species predator–prey model (2004, methodology): “These include the Gierer–Meinhardt model [14,18,39–41], the Sel’kov model [11,36], the Noyes–Field model for Belousov–Zhabotinskii reaction [31], the chemotactic diffusion model [21,38], the competition model [6,10,22–24], the predator–prey model [7,8,12,13,17,19,20,29,30,37], as well as models of s”
- Spatial, temporal and spatiotemporal patterns of diffusive predator-prey models with mutual interference (2015, background): “Pang & Wang (2003) studied a diffusive Holling–Tanner predator–prey model and obtained the existence and non-existence of positive non-constant steady states.”
- Pattern formation in the Brusselator system (2005, methodology): “Similar to the treatments of papers [23,24,28], combining Theorem 4.”
- Existence and non-existence of spatial patterns in a ratio-dependent predator–prey model (2015, unknown): “…criteria for the stability of homogeneous steady-state and derivation of appropriate conditions for the existence and/or non-existence of non-constant stationary states (Pang and Wang, 2003; Peng and Shi, 2009; Peng et al., 2008; Shi, 2002; Shi et al., 2010; Smoller, 1994; Wang et al., 2011).”